(c-3)(5c-6)=

Solution for (c-3)(5c-6)= equation:

Simplifying
(c + -3)(5c + -6) = 0

Reorder the terms:
(-3 + c)(5c + -6) = 0

Reorder the terms:
(-3 + c)(-6 + 5c) = 0

Multiply (-3 + c) * (-6 + 5c)
(-3(-6 + 5c) + c(-6 + 5c)) = 0
((-6 * -3 + 5c * -3) + c(-6 + 5c)) = 0
((18 + -15c) + c(-6 + 5c)) = 0
(18 + -15c + (-6 * c + 5c * c)) = 0
(18 + -15c + (-6c + 5c2)) = 0

Combine like terms: -15c + -6c = -21c
(18 + -21c + 5c2) = 0

Solving
18 + -21c + 5c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(6 + -5c)(3 + -1c) = 0

Subproblem 1
Set the factor '(6 + -5c)' equal to zero and attempt to solve:

Simplifying
6 + -5c = 0

Solving
6 + -5c = 0

Move all terms containing c to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -5c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5c = 0 + -6
-5c = 0 + -6

Combine like terms: 0 + -6 = -6
-5c = -6

Divide each side by '-5'.
c = 1.2

Simplifying
c = 1.2
Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve:

Simplifying
3 + -1c = 0

Solving
3 + -1c = 0

Move all terms containing c to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1c = 0 + -3
-1c = 0 + -3

Combine like terms: 0 + -3 = -3
-1c = -3

Divide each side by '-1'.
c = 3

Simplifying
c = 3
Solution
c = {1.2, 3}